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Finding the Fourth Proportional to 1,518.72, 2,096.32 and 889.60

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Solution

The fourth proportional to 1,518.72, 2,096.32 and 889.60 is: 1,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.72 : 2,096.32 = 889.60 : x
  2. Step 2: Convert to fraction form
    1,518.72/2,096.32 = 889.60/x
  3. Step 3: Cross multiply
    1,518.72x = 2,096.32 × 889.60
  4. Step 4: Simplify right side
    1,518.72x = 1,864,886.27
  5. Step 5: Solve for x
    x = 1,864,886.27/1,518.72
  6. Step 6: Final answer
    x = 1,227.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.